166496699289600 has 351 divisors, whose sum is σ = 596399741627079. Its totient is φ = 44395816550400.

The previous prime is 166496699289553. The next prime is 166496699289601. The reversal of 166496699289600 is 6982996694661.

The square root of 166496699289600 is 12903360.

It is a perfect power (a square), and thus also a powerful number.

166496699289600 is a `hidden beast` number, since 1 + 6 + 6 + 496 + 69 + 9 + 2 + 8 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45021738110976 + 121474961178624 = 6709824^2 + 11021568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166496699289600.

It is not an unprimeable number, because it can be changed into a prime (166496699289601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12387218880 + ... + 12387232320.

Almost surely, 2^{166496699289600} is an apocalyptic number.

166496699289600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166496699289600 is the 12903360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166496699289600

166496699289600 is an abundant number, since it is smaller than the sum of its proper divisors (429903042337479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166496699289600 is an frugal number, since it uses more digits than its factorization.

166496699289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26922 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 166496699289600 in words is "one hundred sixty-six trillion, four hundred ninety-six billion, six hundred ninety-nine million, two hundred eighty-nine thousand, six hundred".